Lyapunov-type inequalities for singular elliptic partial differential equations

We establish Lyapunov-type inequalities for a class of singular elliptic partial differential equations. As an application of Lyapunov-type inequalities, we obtain lower bounds for the first eigenvalue of the associated singular elliptic partial differential equations. We also make an attempt to answer a question raised by de Nápoli and Pinasco in J. Funct. Anal. 270 (2016), no. 6, 1995–2018.